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Finding the Third Proportional to 84,802 and 191,237

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Solution

The third proportional to 84,802 and 191,237 is: 431,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,802 : 191,237 = 191,237 : x
  2. Step 2: Convert to fraction form
    84,802/191,237 = 191,237/x
  3. Step 3: Cross multiply
    84,802x = 191,237 × 191,237
  4. Step 4: Simplify right side
    84,802x = 36,571,590,169
  5. Step 5: Solve for x
    x = 36,571,590,169/84,802
  6. Step 6: Final answer
    x = 431,258.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.